In this chapter, we will use function diagramsFunction diagram to develop a mathematical language that allows us to study and analyze past battles. We begin with Lanchester’s differential equationLanchester’s equation. Lanchester’s equation needs to be enriched to describe all battles. It has several main disadvantages: it is homogeneous in time, independent of geography, and maintains only two armies. Figure 3.2 demonstrates the necessity of extending Lanchester’s equation to a nonhomogeneous differential equation.

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History of War

  • Zvi Lotker

摘要

In this chapter, we will use function diagramsFunction diagram to develop a mathematical language that allows us to study and analyze past battles. We begin with Lanchester’s differential equationLanchester’s equation. Lanchester’s equation needs to be enriched to describe all battles. It has several main disadvantages: it is homogeneous in time, independent of geography, and maintains only two armies. Figure 3.2 demonstrates the necessity of extending Lanchester’s equation to a nonhomogeneous differential equation.